Question

determine the rule for each translation. * (x + 1, y - 3) (x - 4, y) (x, y + 4) (x, y - 4) (x - 1, y + 1) (x + 4, y + 4) (x - 1, y - 1) (x + 4, y) (x + 2, y - 1) (x + 1, y + 1) (x + 2, y + 1) (x + 1, y + 3) (x - 1, y - 3) (x - 2, y - 1)

Explanation:

Step1: Observe the horizontal movement

Take a point \( K\). Assume its original \( x -\)coordinate is \( x_1\) and the translated \( x -\)coordinate is \( x_2\). Count the units moved horizontally. If we move from the black - colored figure (original) to the blue - colored figure (translated), for a general point, we find that the \( x -\)coordinate increases by \( 1\). That is \( x_2=x_1 + 1\).

Step2: Observe the vertical movement

Take the same point \( K\). Assume its original \( y -\)coordinate is \( y_1\) and the translated \( y -\)coordinate is \( y_2\). Count the units moved vertically. We find that the \( y -\)coordinate decreases by \( 3\). That is \( y_2=y_1-3\).

Answer:

\((x + 1,y - 3)\)